Details

Time bar (total: 5.2s)

sample115.0ms

Algorithm
intervals
Results
60.0ms120×body1280valid
21.0ms73×body640valid
9.0ms36×body320valid
9.0ms262×body80nan
2.0ms19×body160valid
0.0ms8×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.7b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune154.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0.3b

Counts
89 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
11.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
22.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify93.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07991100
13634972
25002968

prune313.0ms

Filtered
140 candidates to 90 candidates (35.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh066
Picked011
Done000
Total1407147

Merged error: 0.3b

Counts
147 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
4.8b
(log (- 1.0 x))
4.8b
(log (+ 1.0 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--r+
4×associate--l+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
8.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify76.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0317438
1857414
23110392
35001392

prune113.0ms

Filtered
70 candidates to 53 candidates (24.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh505
Picked101
Done101
Total75277

Merged error: 0.0b

Counts
77 → 2

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
171×add-sqr-sqrt
128×unpow-prod-down
106×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
48×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
12×pow-to-exp pow-exp add-cbrt-cube
6×pow1 associate-*l*
4×cbrt-unprod
2×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
2 → 278
Calls
2 calls:
17.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
35.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
7.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify48.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010501560
150011380

prune539.0ms

Filtered
284 candidates to 148 candidates (47.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2840284
Fresh011
Picked011
Done000
Total2842286

Merged error: 0.0b

Counts
286 → 2

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3415×body1280valid
723.0ms2525×body640valid
299.0ms8169×body80nan
220.0ms1255×body320valid
64.0ms599×body160valid
10.0ms206×body80valid

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